Study of a $\mathbf Z$-form of the coordinate ring of a reductive group
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- by G. Lusztig;
- J. Amer. Math. Soc. 22 (2009), 739-769
- DOI: https://doi.org/10.1090/S0894-0347-08-00603-6
- Published electronically: March 31, 2008
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Abstract:
We show how the theory of canonical bases in modified universal enveloping algebras can be used to develop the theory of Chevalley groups over any commutative ring with $1$.References
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Bibliographic Information
- G. Lusztig
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 117100
- Email: gyuri@math.mit.edu
- Received by editor(s): September 19, 2007
- Published electronically: March 31, 2008
- Additional Notes: The author was supported in part by the National Science Foundation
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: J. Amer. Math. Soc. 22 (2009), 739-769
- MSC (2000): Primary 20G99
- DOI: https://doi.org/10.1090/S0894-0347-08-00603-6
- MathSciNet review: 2505299